Analysis Given Initial Angle and Velocity

 
 
The four equations for velocity and position from the previous section would be all we need if we were always given the velocity of the projectile in it  x and y components.  Unfortunately, more often than not, this is not the case.  What we usually know or are given are an initial velocity and some initial angle from which it left the ground.


 
 
 

This adds another step to our analysis.  Namely it requires us to resolve the initial velocity into its x and y components using trigonometry.
 
 
 
 
 
 
 
 

Now we can use these resolved components and replace the vxo and vyo in our equations:




Now we have equations that can help us describe where our projectile is in time given a particular initial velocity and angle.
 

What is the Shape of a Projectile's Path?
 
 


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